Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
13.0ms378×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log add-cbrt-cube
associate-*l*
expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
11.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* d1 (- d4 d1))
53.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify32.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0213430
1888283
25002273

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity diff-log
fma-def prod-diff sum-log
associate-+l+ fma-neg
pow1 add-exp-log expm1-log1p-u associate-+l- sub-neg add-cbrt-cube log1p-expm1-u
+-commutative associate--l- flip3-- flip3-+ associate--l+ flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 47
Calls
2 calls:
70.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
12.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series89.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
36.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify34.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0233400
1981324
25002303

prune125.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt d1) (cbrt d1))
0.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series699.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt d1) (cbrt d1))
171.0ms
(cbrt d1)
169.0ms
(cbrt d1)
167.0ms
(cbrt d1)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune250.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- d2 d3) d1 (* (sqrt d1) (* (sqrt d1) (- d4 d1))))
0.1b
(* (sqrt d1) (* (sqrt d1) (- d4 d1)))
0.1b
(* (sqrt d1) (- d4 d1))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
50×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
12×associate-*l*
10×pow1 add-exp-log add-cbrt-cube
sqrt-prod
sub-neg associate-*r/ associate-*r*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
flip3-- *-commutative flip-- unswap-sqr
fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 129
Calls
3 calls:
0.0ms
(fma (- d2 d3) d1 (* (sqrt d1) (* (sqrt d1) (- d4 d1))))
24.0ms
(* (sqrt d1) (* (sqrt d1) (- d4 d1)))
13.0ms
(* (sqrt d1) (- d4 d1))

series160.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(fma (- d2 d3) d1 (* (sqrt d1) (* (sqrt d1) (- d4 d1))))
42.0ms
(* (sqrt d1) (* (sqrt d1) (- d4 d1)))
54.0ms
(* (sqrt d1) (- d4 d1))

simplify56.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04331254
11772838
25002783

prune189.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample703.0ms

Algorithm
intervals
Results
412.0ms11969×body80valid